"Complete commutative basic algebras." . "Hala\u0161, Radom\u00EDr" . "17"^^ . . "[8A6D3584A759]" . . "Complete commutative basic algebras."@en . "Basic algebrou rozum\u00EDme algebru stejn\u00E9ho typu jako je MV-algebra odvozenou p\u0159irozen\u00FDm zp\u016Fsobem ze svaz\u016F maj\u00EDc\u00EDch antitonn\u00ED involuce na hlavn\u00EDch filtrech. V p\u0159edchoz\u00ED pr\u00E1ci bylo dok\u00E1z\u00E1no, \u017Ee kone\u010Dn\u00E9 komutativn\u00ED basic algebry jsou MV-algebry. V t\u00E9to pr\u00E1ci je v\u00FDsledek zobecn\u011Bn pro t\u0159\u00EDdu \u00FApln\u00FDch komutativn\u00EDch basic algeber."@cs . . . "\u00DApln\u00E9 komutativn\u00ED basic algebry."@cs . "0167-8094" . "By a basic algebra is meant an MV-like algebra derived in a natural Way from bounded lattices having antitone involutions on thein principal filters. In the previous paper we have shown that finite basic algebras which are commutative are MV-algebras. In this paper we generalize this result by considering basic algebras for which the underlying lattice is complete." . "NL - Nizozemsko" . "2"^^ . . "15310" . "1" . "89-105" . . "Complete commutative basic algebras." . . "2"^^ . . "RIV/61989592:15310/07:00004731!RIV08-MSM-15310___" . . "414498" . . "RIV/61989592:15310/07:00004731" . "Botur, Michal" . "lattice; section antitone involution; MV-algebra; basic algebra; residuated groupoid."@en . "Z(MSM6198959214)" . "By a basic algebra is meant an MV-like algebra derived in a natural Way from bounded lattices having antitone involutions on thein principal filters. In the previous paper we have shown that finite basic algebras which are commutative are MV-algebras. In this paper we generalize this result by considering basic algebras for which the underlying lattice is complete."@en . . . . . "Order" . . "Complete commutative basic algebras."@en . "\u00DApln\u00E9 komutativn\u00ED basic algebry."@cs . . . "24" . .